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|Paper IPM / Particles And Accelerator / 14365||
We calculate the process-independent fragmentation functions (FFs) for a heavy quark to fragment into heavy
mesons considering the effects of meson wave function. In all previous works, where the FFs of heavy mesons
or heavy baryons were calculated, a delta function form was approximated for the wave function of hadrons.
Here we, for the first time, consider a typical mesonic wave function which is different of the delta function
and is the nonrelativistic limit of the solution of Bethe-Salpeter equation with the QCD kernel. We shall
present our numerical results for the heavy FFs and show how the proposed wave function improves the previous results. As an example, we focus on the fragmentation function for c-quark to split into S-wave D0 meson and compare our results with experimental data from BELLE and CLEO.
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